Step-by-step explanation:
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Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
Answer:
6 =t
Step-by-step explanation:
-9 (t – 2) = 4(t – 15)
Distribute
-9t +18 = 4t -60
Add 9t to each side
-9t +18+9t = 4t+9t -60
18 = 13t -60
Add 60 to each side
18+60 = 13t-60+60
78 = 13t
Divide each side by 13
78/13 = 13t/13
6 =t
Answer:
150
Step-by-step explanation:
S.A.=2(wl+hl+hw)=
2((3x9)+(4x3)+(4x9))
2(27+12+36)
2(75)
150
Answer:
(f • g)(3) = 100, the distance in miles the bus traveled
Step-by-step explanation:
The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...
f(3) = 2·3² +2 = 20 . . . . miles per hour
g(3) = 3+2 = 5 . . . . hours
so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles
This means only the first answer choice is applicable.
